The Miami-based National Hurricane Center said the storm had degenerated into a "trough of low pressure" and was just off the southeastern coast of Cuba, 205 kilometers east of the city of Camaguey, at 1330 GMT.
In Cuba, the heavy rains came as welcome news to an island enduring its worst drought since 1901.
"The rains, at times intense, ... Are received with pleasure, given the intense drought that affects this region since the end of last year," the official Cuban news agency Prensa Latina said.
It was still packing maximum sustained winds of 55 kilometers per hour, according to the NHC, which said storm warnings had been lifted but warned the low pressure system should be followed with interest in Cuba and the Bahamas.
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The storm's passage came exactly 10 years after Hurricane Katrina battered parts the southern United States, devastating New Orleans in particular.
The storm dumped heavy rains on the Dominican Republic and Haiti, but its deadliest impact was on the tiny island of Dominica, which was still recovering.
"The visual damage I saw today, I fear, may have set our development process back by 20 years," Dominica Prime Minister Roosevelt Skerrit said yesterday after surveying the damage.
"Of greatest concern however, is the loss of life. So far we have confirmed that at least 20 citizens have died, and some are missing," he said.
Highways sustained widespread damage and bridges were washed away, he said.
After pounding Dominica, Erika drenched Haiti where authorities set up emergency shelters across the country. Aid was stocked at temporary shelters to help displaced people.